Question

Apply the Zero Power Rule to create an equivalent expression to 4/3(−2+1 superscript 0)
.(1 point)
An equivalent expression to 4/3(−2+1 superscript 0)
is 4/3
(−2+

).

Answer 1

To apply the Zero Power Rule, we use the fact that any non-zero number raised to the power of 0 is equal to 1.

In your expression, we have \(1^0\). The Zero Power Rule tells us that:

\[
1^0 = 1
\]

So, we can substitute \(1^0\) with \(1\) in the expression \(4/3(-2 + 1^0)\):

\[
4/3(-2 + 1)
\]

Now, simplifying the expression inside the parentheses:

\[
-2 + 1 = -1
\]

Thus, we can rewrite the expression as:

\[
4/3(-1)
\]

So, an equivalent expression to \(4/3(-2 + 1^0)\) is:

\[
4/3 \cdot (-1) = -\frac{4}{3}
\]

If we only need to express what comes after the blank, the final equivalent expression (without simplification beyond substituting \(1^0\)) is:

\[
-2 + 1
\]

So you can fill in the blank with:

An equivalent expression to \( \frac{4}{3}(-2 + 1^0) \) is \( \frac{4}{3}(-2 + 1) \).